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JEE Main 20245 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
5 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Electrochemistry

JEE Main 2024 · 5 April · Evening Shift · Chemistry · Electrochemistry

For the electro chemical cell ( gathered If E_ (M^ 2+ / M) ^0=0.46...

For the electro chemical cell (\begin{gathered} \text{ If } \mathrm{E}_{\left(\mathrm{M}^{2+} / \mathrm{M}\right)}^0=0.46 \mathrm{ V} \text{ and } \mathrm{E}_{\left(\mathrm{x} / \mathrm{X}^{2-}\right)}^0=0.34 \mathrm{ V} \text{. } \end{gathered}) Which of the following is correct?

Options

  1. A(\mathrm{M}+\mathrm{X} \rightarrow \mathrm{M}^{2+}+\mathrm{X}^{2-}) is a spontaneous reaction
  2. B(\mathrm{E}_{\text{cell }}=0.80 \mathrm{ V})
  3. C(\mathrm{E}_{\text{cell }}=-0.80 \mathrm{ V})
  4. D(\mathrm{M}^{2+}+\mathrm{X}^{2-} \rightarrow \mathrm{M}+\mathrm{X}) is a spontaneous reaction

Correct answer

D. (\mathrm{M}^{2+}+\mathrm{X}^{2-} \rightarrow \mathrm{M}+\mathrm{X}) is a spontaneous reaction

Step-by-step solution

\begin{aligned} & \mathrm{M} \mid \mathrm{M}^{+2} \| \mathrm{X} / \mathrm{X}^{2-} \\ & \mathrm{E}_{\mathrm{cell}^{\mathrm{o}}=\mathrm{E}_{\mathrm{M} / \mathrm{M}^{+2}}^{\mathrm{o}}+\mathrm{E}_{\mathrm{X} / \mathrm{X}^{-2}}^{\mathrm{o}} \\ & =-0.46+0.34=-0.12 \mathrm{ V} \end{aligned}As \mathrm{E}_{\text{cell }^{\mathrm{o}} is negative so anode becomes cathode and cathode become anode. Spontaneous reaction will be M+2+X2−⟶M+X\mathrm{M}^{+2}+\mathrm{X}^{2-} \longrightarrow \mathrm{M}+\mathrm{X}
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